What is 24 Percent of 31?
24% of 31 = 7.44
Step by step
- Turn the percentage into a decimal: 24 ÷ 100 = 0.24
- Multiply: 0.24 × 31 = 7.44
How the answer is worked out
“Percent” means “per hundred”, so 24% is 24 out of every 100, or 0.24 as a decimal. Taking 24% of 31 means multiplying 31 by 0.24, which gives 7.44.
7.44 is the 24% share of 31. The remaining 76% is 23.56, and the two parts add back up to 31.
Why calculate this?
Taking a percentage of a number is how discounts, tips, tax and interest are worked out.
- Discounts: 24% off an item priced $31 saves $7.44, so you pay $23.56.
- Tips: a 24% tip on a bill of $31 is $7.44, so the total is $38.44.
- Interest: simple interest of 24% a year on $31 earns $7.44 in one year and $37.2 over five years.
- Tax: a sales tax of 24% on a price of $31 adds $7.44, so the price including tax is $38.44.
A quicker way
Use 10% and 1%: 10% of 31 is 3.1 and 1% is 0.31. 24% is 2 × 10% + 4 × 1% = 6.2 + 1.24 = 7.44.
Swap the numbers if that is easier: 24% of 31 is always the same as 31% of 24, because both are 24 × 31 ÷ 100.
Check the answer
Work backwards: 7.44 ÷ 31 × 100 = 24%. Getting 24% back shows the answer is right.
Rounding
Rounded to a whole number the result is 7, to one decimal place 7.4 and to two decimal places 7.44. Round only at the end: rounding halfway through a calculation can change the last digit.
The formula explained
result = percentage ÷ 100 × number. Dividing the percentage by 100 turns it into a decimal multiplier, so 25% becomes 0.25 and 150% becomes 1.5. Multiplying the number by that decimal gives the share.
Another worked example: 5% of 3
- Turn the percentage into a decimal: 5 ÷ 100 = 0.05
- Multiply: 0.05 × 3 = 0.15
Common percentages of 31
10% of 31 is 3.1, 20% is 6.2, a quarter (25%) is 7.75, half (50%) is 15.5 and three quarters (75%) is 23.25. Knowing these makes it easy to estimate any other percentage of 31 in your head.
Adding and taking away 24%
Increasing 31 by 24% gives 38.44 and decreasing it by 24% gives 23.56. These do not cancel out: raising 31 by 24% and then lowering the result by 24% ends at 29.2144, because the second 24% is taken of a bigger number.
Finding the original number
If 7.44 is 24% of something, divide by 0.24 to get it back: 7.44 ÷ 0.24 = 31. This is how you work out a price before tax or a full amount from a share of it.
Other ways to ask this
The same calculation is often asked in other words. All of these have the answer above:
- What is 24 percent of 31?
- 24% of 31
- 24 percent times 31
- Find 24% of 31
- How much is 24 per cent of 31?
Terms used on this page
- Percentage: the rate, the number with the % sign.
- Base: the number you take the percentage of.
- Decimal multiplier: the percentage divided by 100.
- Mark-up and discount: adding or taking away a percentage of a price.
The answer in other forms
| Result | 7.44 |
|---|---|
| Remaining | 23.56 |
| 24% as decimal | 0.24 |
| 31 + 24% | 38.44 |
Related results
| 5% of 31 | 5% of 31 = 1.55 |
| 10% of 31 | 10% of 31 = 3.1 |
| 15% of 31 | 15% of 31 = 4.65 |
| 20% of 31 | 20% of 31 = 6.2 |
| 25% of 31 | 25% of 31 = 7.75 |
| 50% of 31 | 50% of 31 = 15.5 |
| 75% of 31 | 75% of 31 = 23.25 |
The other way round: 31% of 24
Doing it in a spreadsheet
In Excel, Google Sheets or Numbers type =24%*31 into any cell. Replace the numbers with cell references (for example A1 and B1) to reuse the formula for a whole column.
Common mistakes
Forgetting to divide the percentage by 100 makes the answer 100 times too big. Note that x% of y always equals y% of x.
Practice examples
| 5% of 3 | Show answer5% of 3 = 0.15 |
| 60% of 22 | Show answer60% of 22 = 13.2 |
| 12% of 63 | Show answer12% of 63 = 7.56 |
| 28% of 88 | Show answer28% of 88 = 24.64 |
| 23% of 27 | Show answer23% of 27 = 6.21 |
| 14% of 51 | Show answer14% of 51 = 7.14 |
| 79% of 32 | Show answer79% of 32 = 25.28 |
| 79% of 39 | Show answer79% of 39 = 30.81 |
| 63% of 37 | Show answer63% of 37 = 23.31 |
| 48% of 75 | Show answer48% of 75 = 36 |
How this answer was calculated
The result is worked out from the numbers in this page's address when the page is opened, using exact arithmetic wherever possible and rounding only for display. Nothing is copied from a printed table. If you think an answer is wrong, please tell us through the contact page and we will check it.
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Questions
What is 24 Percent of 31?
24% of 31 is 7.44. Formula, steps and practice examples.
What is 24% off 31?
23.56. Taking 24% off leaves 76% of 31.
What is 31 plus 24%?
38.44. Adding 24% is the same as multiplying by 1.24.
What is 24% of 31 as a fraction?
24/100 × 31 = 744/100, which simplifies to 186/25.
How do I find 24% of a number on a calculator?
Multiply the number by 0.24. For 31 that is 31 × 0.24 = 7.44. On many calculators you can also type 31 × 24 %.